What is the Greatest Common Factor of 4849 and 4862?

Greatest common factor (GCF) of 4849 and 4862 is 13.

GCF(4849,4862) = 13

We will now calculate the prime factors of 4849 and 4862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4849 and 4862.

How to find the GCF of 4849 and 4862?

We will first find the prime factorization of 4849 and 4862. After we will calculate the factors of 4849 and 4862 and find the biggest common factor number .

Step-1: Prime Factorization of 4849

Prime factors of 4849 are 13, 373. Prime factorization of 4849 in exponential form is:

4849 = 13¹ × 373¹

Step-2: Prime Factorization of 4862

Prime factors of 4862 are 2, 11, 13, 17. Prime factorization of 4862 in exponential form is:

4862 = 2¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1, 13, 373

Step-4: Factors of 4862

List of positive integer factors of 4862 that divides 4849 without a remainder.

1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4849 and 4862. The biggest common factor number is the GCF number.
So the greatest common factor 4849 and 4862 is 13.

Also check out the Least Common Multiple of 4849 and 4862